Class Instructor
Name | : | Mai Zhou |
Address | : | 343 MDS |
Telephone | : | 257-6912 |
: | mai@ms.uky.edu | |
Office Hours | : | TBA and by appointment. |
Course Information
Class time and place | : | Tuesday and Thursday 2:00 PM - 3:15 PM, at MDS 335. Final Exam: | |
Lecture Notes | : |
Van der Vaart, Mathematical Statistics, this is a 70 page
notes, available online
here .
PDF version Some good notes from UMN here . And a 500 page probability/Statistics book here and here. Mai Zhou (1), Asymptotics for Maximum Likelihood, this is a 16 page notes, available here . Mai Zhou (2), Empirical Likelihood, will be available a bit later. | |
Other useful books for this class | : | Thomas Ferguson, Mathematical Statistics, A Decision Theoretic Approach, Academic Press. (Our topics for the April.) | |
A.W. Van der Vaart, Asymptotic Statistics, Cambridge University Press. (has much more than can be covered in one semester. Has a chapter on U-statistics.) | |||
Website | : | This page will be updated regularly. Please keep checking it often for announcements and homework information. |
|
A page contain the probability results we have covered so far (Fall 2012).
Topics list. This is a list of topics we have covered in this class.Examples of MLE and confidence interval done in R
Below are From previous versions of sta701. No longer relavant.
Tentative Schedule
Date | Topics | Book Sections | Handouts/Assignments |
---|---|---|---|
Thur, Jan 13 | Introduction. Examples. Why asymptotics? | AWV 1.1 | |
Tues, Jan 18 | Big O and small o | AWV 1.2 | |
Thur, Jan 20 | Stachastic O and o | AWV 1.2 | Homework 1: |
Tues, Jan 25 | Multivariate Normal distribution | AWV 2.1, 2.2 | |
Thur, Jan 27 | Homework 2: | ||
Tues, Feb 1 | Lindberg-Feller CLT, Cremer-Wold device | AWV 2.3 | |
Thur, Feb 3 | Delta method | AWV 3.1 | Homework 3: |
Tues, Feb 8 | Delta method, examples | AWV 3.2 | |
Thur, Feb 10 | Z and M estimators | AWV 4.1 | |
Tues, Feb 15 | M estimators | AWV 4.2, 4.3 | |
Thur, Feb 17 | Maximum Likelihood | MZ1 | |
Tues, Feb 22 | Maximum Likelihood | MZ1 | |
Thur, Feb 24 | Nonparametric estimation | AWV 5.1 | Homework 4: |
Tues, Mar 1 | Empirical distribution functions | AWV 5.1/MZ2 | |
Thur, Mar 3 | Empirical likelihood. | MZ2 | Homework 5: |
Tues, Mar 8 | Empirical likelihood. | MZ2 | |
Thur, Mar 10 | Exam | ||
Tues, Mar 15 | Spring Break - No Classes! | ||
Thur, Mar 17 | |||
Tues, Mar 22 | |||
Thur, Mar 24 | Limit of posterior distributions | ||
Tues, Mar 29 | Desicion theory | Ferguson 1.1, 1.3, 1.5 | |
Thur, Mar 31 |
Homework 7: | ||
Tues, Apr 5 | Bayes and minimax | Ferguson 1.6, 1.8 | |
Thur, Apr 7 | |||
Tues, Apr 12 | geometric interpretations |
Ferguson 1.7, 2.7 | |
Thur, Apr 14 | Solving for minimax rules | Ferguson 2.11 | |
Tues, Apr 19 | Estimating normal mean | Ferguson 3.7 | Homework 8: |
Thur, Apr 21 | Complete Class | Ferguson 2.3 | |
Tues, Apr 26 | Most powerful unbiased tests | Ferguson 5.4 | |
Thur, Apr 28 | Reviews | ||
Thur, May 5 | Final Exam (8-10 AM) |